Suekdccia said:
would DESI results confirm an evolving dark energy parameter if they turned out to be right? Or would we need more measurements with other techniques to be sure?
We would need more measurements, and also a theory to explain the results.
In physics, the usual threshold for declaring that a new scientific discovery has been made is an experiment or observation with at least a five standard deviation statistical significance (commonly called five sigma).
The very high five sigma threshold that is used in physics as a cutoff for a "discovery" is a crude solution to deal with the fact that observational and experimental uncertainties that are treated for convenience as if they have a "normal" a.k.a. "Gaussian" distribution, actually have been shown empirically to have fatter tails than that making high sigma events more likely, to deal with complicated to quantify "look elsewhere effects" that make improbable events likely to happen somewhere if you make enough observations, and to deal with the fact that systemic error is easy to underestimate. Sophisticated and seasoned physicists don't really believe that five sigma events are as profoundly improbable as a naive mathematical calculation using a normal probability distribution would imply.
But five sigma significance isn't the only requirement for a discovery of new physics to be widely accepted.
One cannot be sure about any major scientific conclusion, no matter how great its statistical significance (and the DESI results are mostly sub-five sigma, or just barely over five sigma with possible disputes over how to calculate that properly), until (1) it is credibly replicated independently (and not credibly contradicted), and (2) someone can propose some sort of internally consistent scientific theory that can explain the new data.
Until then, there are only stronger and weaker anomalies in the observational data.
Discovering and replicating an anomaly at a five sigma level is a very big deal. But even then, until you can come up with some reasonable theoretical explanation for the anomaly with new physics, you still aren't there and will struggle to secure widespread acceptance for the conclusion that the leading legacy theory is wrong.
Unexplained large anomalies that have no reasonable theoretical explanation, realistically, often turn out to be shared systemic errors at the end of the day.
Of course, the standard I've laid out is just a social consensus among physicists about what is good enough for the community to agree upon that is informed by their experiences as a discipline. There is no magic threshold in Nature that says this degree of statistical certainty is certain, and this degree of statistical certainty is not good enough. Intrinsically, every scientific observation comes with an uncertainty attached to it and a domain of applicability, no matter how widely accepted it is in the physics community. Scientists have collectively just drawn some arbitrarily and socially constructed lines regarding what they think is adequate to meet the burden of scientific proof for their purposes, because it makes their lives easier and makes achieving consensus easier, as a practical matter.